If the aluminum unit cell exhibits face-centered behavior then how many unit cells are present in 54g of aluminum?(a) 1.2042 x 10^24(b) 5.575 x 10^21(c) 3.011 x 10^23(d) 2.4088 x 10^24This question was addressed to me in my homework.I want to ask this question from Solid State in chapter Solid State of Chemistry – Class 12

If the aluminum unit cell exhibits face-centered behavior then how man

1.	If the aluminum unit cell exhibits face-centered behavior then how many unit cells are present in 54g of aluminum?(a) 1.2042 x 10^24(b) 5.575 x 10^21(c) 3.011 x 10^23(d) 2.4088 x 10^24This question was addressed to me in my homework.I want to ask this question from Solid State in chapter Solid State of Chemistry – Class 12
Answer» Right answer is (c) 3.011 X 10^23 For explanation: Atomic mass of Al = 27G/mole (contains 6.022 x 10^23 Al atoms) Since it exhibits FCC, there are 4 Al atoms/UNIT cell. If 27g Al contains 6.022 x 10^23 Al atoms then 54G Al contains 1.2044 x 10^24atoms. Thus, if 1 unit cell contains 4 Al atoms then number of unit cells CONTAINING 1.2044 x 10^24 atoms=(1.2044 x 10^24 x 1)/4 = 3.011× 10^23 unit cells.

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